Definitions

The color of the "Up" side on a LL corner is the "face" of that corner. Corners may be "in" place or "out" of place relative to each other. The corner have 3 positions, and 7 orientation.

The 3 positions are All In, "Two out" and "Reverse." "All In" means that the corners are all in place relative to each other, "Two out" means any two adjacent corners are swapped, and "Reverse" means that the corner positions are reversed, which can be seen as the Right Front corner swapping places with the
Left Back corner, or as the Left Front corner swapping places with the Right Back corner.

The 7 orientations are as follows.

All Up

All the corners on the Last Level are upright.

Three Down

Three corners on the Last Level are rotated clockwise or counterclockwise.

Headlights

Two corners on the Last Level are upright, two are rotated to face the same direction, like headlights on a car.

Sidelights

Two corners on the Last Level are upright, two are rotated to face away from each other.

Oddlights

Two corners on the Last Level are upright, two are rotated: Right Front and Left Rear or Right Rear or Left Front.

Wheels

All four corners on the Last Level are rotated, two pairs face away from each other, like wheels on a car.

Barrow

All four corners on the Last Level are rotated, two face away from each other like wheels on the front of a wheel barrow, and two face the same direction like handles on a wheel barrow.